Math. Model. Nat. Phenom.
Volume 15, 2020
Systems with Hysteresis and Switching
|Number of page(s)||14|
|Published online||24 September 2020|
Efficiency of hysteretic damper in oscillating systems
Voronezh State University,
Universitetskaya sq. 1,
2 Geophysical Survey of Russia Academy of Science, Lenina av. 189, 249035 Obninsk, Russia
3 Voronezh State Technical University, XX-letiya Oktyabrya st. 84, 394006 Voronezh, Russia
4 Zhukovsky-Gagarin Air Force Academy, Starykh Bolshevikov st. 54 “A”, 394064 Voronezh, Russia
5 Target Search Lab of Groundbreaking Radio Communication Technologies of Advanced Research Foundation, Plekhanovskaya st. 14, 394018, Voronezh, Russia
* Corresponding author: firstname.lastname@example.org
Accepted: 19 November 2019
This paper is dedicated to comparative analysis of nonlinear damping in the oscillating systems. More specifically, we present the particular results for linear and nonlinear viscous dampers, fractional damper, as well as for the hysteretic damper in linear and nonlinear (Duffing-like) oscillating systems. We consider a constructive mathematical model of the damper with hysteretic properties on the basis of the Ishlinskii-Prandtl model. Numerical results for the observable characteristics, such as the force transmission function and the “force-displacement” transmission function are obtained and analyzed for both cases of the periodic affection, as well as for the impulse affection (in the form of δ-function). A comparison of an efficiency (in terms of the corresponding transmission functions) of the nonlinear viscous damper and the hysteretic damper is also presented and discussed.
Mathematics Subject Classification: 34G20 / 34C55 / 47J40
Key words: Linear and nonlinear damping / fractional damper / hysteretic damper / hysteron / Ishlinskii-Prandtl model
© The authors. Published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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